Spectral stability estimates of Dirichlet divergence form elliptic operators

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2 Scopus citations


We study spectral stability estimates of elliptic operators in divergence form - div [A(w) ∇ g(w)] with the Dirichlet boundary condition in non-Lipschitz domains Ω~ ⊂ C. The suggested method is based on the theory of quasiconformal mappings, weighted Sobolev spaces theory and its applications to the Poincaré inequalities.

Original languageEnglish
Article number74
JournalAnalysis and Mathematical Physics
Issue number4
StatePublished - 1 Dec 2020


  • Elliptic equations
  • Quasiconformal mappings
  • Sobolev spaces

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Mathematical Physics


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